MATHEMATICS HIGH SCHOOL

If f(2)=pi+7 then f^-1(pi+7)=?

Answers

Answer 1

Answer:

Answer: The required value of $f^('-1)(\pi+7)$ is 2.

Step-by-step explanation: We are given the following value of a function f :

$f(2)=\pi+7.$

We are to find the value of $f^(-1)(\pi+7).$

We know that

For any function g(x) = y,

$g^(-1)(y)=x.$

Applying the above rule in equation (i), we get

$f(2)=\pi+7\n\n\Rightarrow f^(-1)(\pi+7)=2.$

Thus, the required value of $f^('-1)(\pi+7)$ is 2.

Answer 2

Answer: Hello,

$f(2)=\pi + 7\n\n 2=f^(-1)\ o\ f(2)=f^(-1) (f(2))=f^(-1)( \pi + 7 })$

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the theatre charges $9 for each adult ticket and $6 for each child ticket. the theatre sold 144 tickets for the first showing of the new release. the total money collected from ticket sales for that show was $1164. write a system of equations that could be used to find the number of child tickets and the number of adult tickets sold, and solve the system algebraically.

Answers

x=number of adult tickets
y=number of child tickets
I suggest this system of equations:
x+y=144
9x+6y=1164
we can solve this system of equations by substitution method.
x=144-y

9(144-y)+6y=1164
1296-9y+6y=1164
-3y=1164-1296
-3y=-132
y=-132/-3=44

x=144-y
x=144-44=100

Answer: the theatre sold 100 adult tickets and 44 child tickets.

A 26' long painting is how many yards long

Answers

three feet is 1 yard. 26 feet would be 26/3=8 2/3 yards long.

Write an algebraic equation for the following. The product of three and a squared number is twice the sum of the number and four.

Answers

3*x^2 = 2*(x+4)

x is the unknown number

60 is 25% of what number

Answers

For these problems, the this number is this percent of what number ones, turn the percent into a decimal.
Do this by moving the decimal two places to the left.
0.25 is the decimal.
Now divide the whole number by the decimal.
60/0.25=240
60 is 25% of 240

Solutions
To solve the problem we first have to turn the percent into a decimal. To convert to decimal divide the percent by 100.

0.25 is the decimal.

Now divide the whole number by the decimal.

60÷ 0.25 = 240

60 is 25 percent of 240

What is the perimeter of a trapezoid having side lengths of 20 ft, 20 ft, 26 ft and 18 ft?